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(Be sure to check out the similarities between this and the
small stellated dodecahedron!)
We can look at the
great stellated dodecahedron in two
different ways:
 
Just like the small stellated dodecahedron, the
great stellated dodecahedron is simply 12 pentagrams intersected in a special way. They're just
put together in a much tighter configuration in this polyhedron.
Look at the second picture and easily see the yellow pentagram. Can you find
some of the others? You should be able to find pentagrams that are red, green, etc. Once
again, like the small stellated dodecahedron, there are two pentagrams of each color. We can
only see the ones facing us. There is another yellow pentagram on the other side that lies
in a parallel plane to the one facing us! Just as before, this is true for all the other 6
colors.
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When I constructed this model, I first
built the icosahedron. Then I made the tips and glued them on. The stellated dodecahedron
is made up of 20 tips with 3 isosceles triangles in each tips for a total of 60 triangles.
Compare these numbers to those of the stellated dodecahedron. You'll really start to see
why the dodecahedron and the icosahedron are duals! |
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